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133202243022431 = 1117434710125113903
BaseRepresentation
bin11110010010010110010000…
…011000001110111001011111
3122110122000021100012121001012
4132102112100120032321133
5114424341143203204211
61151144133215205435
740025354520245552
oct3622262030167137
9573560240177035
10133202243022431
113949583267a050
1212b335a181687b
135942bc101a05b
1424c7047012699
15105ed6912ad8b
hex79259060ee5f

133202243022431 has 128 divisors (see below), whose sum is σ = 163037736271872. Its totient is φ = 107434656000000.

The previous prime is 133202243022389. The next prime is 133202243022461. The reversal of 133202243022431 is 134220342202331.

It is a cyclic number.

It is not a de Polignac number, because 133202243022431 - 214 = 133202243006047 is a prime.

It is a super-2 number, since 2×1332022430224312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133202243022461) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9580820426 + ... + 9580834328.

It is an arithmetic number, because the mean of its divisors is an integer number (1273732314624).

Almost surely, 2133202243022431 is an apocalyptic number.

133202243022431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133202243022431 is a deficient number, since it is larger than the sum of its proper divisors (29835493249441).

133202243022431 is a wasteful number, since it uses less digits than its factorization.

133202243022431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14373.

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 133202243022431 its reverse (134220342202331), we get a palindrome (267422585224762).

The spelling of 133202243022431 in words is "one hundred thirty-three trillion, two hundred two billion, two hundred forty-three million, twenty-two thousand, four hundred thirty-one".

Divisors: 1 11 17 43 47 101 187 251 473 517 731 799 1111 1717 2021 2761 4267 4343 4747 8041 8789 10793 11797 13903 18887 22231 25351 34357 46937 47773 52217 73831 80699 118723 129767 152933 183481 200549 204121 236351 278861 377927 430967 507271 597829 653441 812141 887689 1090093 1191497 1404203 2018291 2206039 2245331 2599861 3470057 3489653 4740637 5579981 6576119 7187851 8623607 10163093 11108497 11991023 13106467 15446233 18531581 20255449 23871451 28097963 38170627 38386183 51234371 59324101 60380729 65997541 94859677 111794023 122193467 150055079 164013691 203847391 222809939 262585961 309077593 352454953 477665371 563578081 652565111 664188019 725972951 870984307 1026472393 1121958197 1650605869 1804150601 2550936343 2788232747 2837894263 3877004483 5254319081 5991734201 7052588713 9580827377 11291196323 12341540167 15155562979 16565382791 28060299773 30670560217 31216836893 48244202471 65909076211 77578475843 119894008121 166711192769 182219210701 257644570643 281611507447 530686227181 712311460013 1318834089331 2834090277073 3097726581917 7835426060143 12109294820221 133202243022431